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Finding the Fourth Proportional to 12,079.70, 18,124.68 and 7,705.70

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Solution

The fourth proportional to 12,079.70, 18,124.68 and 7,705.70 is: 11,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.70 : 18,124.68 = 7,705.70 : x
  2. Step 2: Convert to fraction form
    12,079.70/18,124.68 = 7,705.70/x
  3. Step 3: Cross multiply
    12,079.70x = 18,124.68 × 7,705.70
  4. Step 4: Simplify right side
    12,079.70x = 139,663,346.68
  5. Step 5: Solve for x
    x = 139,663,346.68/12,079.70
  6. Step 6: Final answer
    x = 11,561.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.